What is the Least Common Multiple of 62925 and 62929?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 62925 and 62929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62925 and 62929, than apply into the LCM equation.

GCF(62925,62929) = 1
LCM(62925,62929) = ( 62925 × 62929) / 1
LCM(62925,62929) = 3959807325 / 1
LCM(62925,62929) = 3959807325

Least Common Multiple (LCM) of 62925 and 62929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62925 and 62929. First we will calculate the prime factors of 62925 and 62929.

Prime Factorization of 62925

Prime Factorization of 62929

Now multiplying the highest exponent prime factors to calculate the LCM of 62925 and 62929.

LCM(62925,62929) = 3¹ × 5² × 839¹ × 62929¹
LCM(62925,62929) = 3959807325